CN106896351A - A kind of radar network composite Poewr control method based on non-cooperative game - Google Patents
A kind of radar network composite Poewr control method based on non-cooperative game Download PDFInfo
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- CN106896351A CN106896351A CN201710071067.8A CN201710071067A CN106896351A CN 106896351 A CN106896351 A CN 106896351A CN 201710071067 A CN201710071067 A CN 201710071067A CN 106896351 A CN106896351 A CN 106896351A
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- G—PHYSICS
- G01—MEASURING; TESTING
- G01S—RADIO DIRECTION-FINDING; RADIO NAVIGATION; DETERMINING DISTANCE OR VELOCITY BY USE OF RADIO WAVES; LOCATING OR PRESENCE-DETECTING BY USE OF THE REFLECTION OR RERADIATION OF RADIO WAVES; ANALOGOUS ARRANGEMENTS USING OTHER WAVES
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- G01S7/02—Details of systems according to groups G01S13/00, G01S15/00, G01S17/00 of systems according to group G01S13/00
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Abstract
The invention discloses a kind of radar network composite Poewr control method based on non-cooperative game, belong to Radar Signal Processing Technology field.This method is according to priori, the RCS of propagation loss and target relative to each radar in acquisition system between each radar and target;Then, under conditions of certain target acquisition performance is met, radar transmission power is minimized, sets up the radar network composite Power control model based on non-cooperative game, and model is solved by classical Lagrangian Relaxation Algorithm.Through iterative calculation, it is chosen at and meets under target acquisition performance condition so that the minimum performance number of each radar transmission powerAs optimal solution, you can obtain meeting the Radar Network System minimum total emission power of constraints.The present invention had both reduced the interference between different radars in Radar Network System, while improve the radio frequency Stealth Fighter of system in the case where certain target acquisition performance is met.
Description
Technical field
The present invention relates to a kind of radar network composite Poewr control method based on non-cooperative game, belong to Radar Signal Processing skill
Art field.
Background technology
Radar Network System refers to strange land to be disperseed into the multi-section emitter of deployment by specific procotol and equipment, is connect
Receipts machine and Hub connect into organic whole, realize that time domain, frequency domain, spatial domain cooperate, and complete to target reconnaissance, visit
The comprehensive integrated electronic information of the functions such as survey, information acquisition, recognition and tracking, firepower guiding.
However, increasingly sophisticated with current Battle Field Electromagnetic, Passive Detention System causes that the living environment of radar is received
Serious threat and challenge is arrived.Radio frequency stealth technology refers to the active electronics such as radar equipment confrontation enemy's Passive Detention System
Intercept and capture, sorting, identification, the stealth technology of tracking, with reduce engagement range that Passive Detention System equip to radio frequencies such as radars, section
Probability is obtained for target, the battlefield survival and fighting efficiency of radar and its carrying platform can be further improved.When radar group
When net system is detected to target, in the case where target acquisition performance is not influenceed, the global radiation of Radar Network System is reduced
Power, can effectively improve the radio frequency Stealth Fighter of system, improve its battlefield survival.
When the Radar Network System that consideration works in same frequency range carries out target acquisition, how certain target acquisition is being met
The total radiant power that Radar Network System is reduced in the case of performance is prior art problem demanding prompt solution.
The content of the invention
The present invention proposes a kind of radar network composite Poewr control method based on non-cooperative game, it is considered to work in same frequency
When the Radar Network System of section carries out target acquisition, Radar Network System is reduced in the case where certain target acquisition performance is met
Total radiant power, the radio frequency Stealth Fighter of lifting system.
The present invention is adopted the following technical scheme that to solve its technical problem:
A kind of radar network composite Poewr control method based on non-cooperative game, comprises the steps of:
(1) channel propagation impairments between each radar and target in Radar Network System are obtained, its mathematical description is:
Wherein,It is i-th transmitter antenna gain (dBi) of radar,It is i-th receiving antenna gain of radar,For
With respect to i-th RCS of radar, λ is radar emission signal wavelength, R to targetiFor between i-th radar and target
Distance, NtIt is radar number in system;
(2) according to the investigative range for specifying SINRWherein:It is Signal to Interference plus Noise Ratio SINR value lower limit,
It is the Signal to Interference plus Noise Ratio SINR value upper limit, sets up the radar network composite Power control model based on non-cooperative game:
Wherein, s.t. represents optimization object function " being limited to " following restrictive condition, ui(pi,p-i) it is the effectiveness of radar i
Function, piIt is the transmission power level of radar i, p-iRepresent the radiant power of every other radar in the external system except radar i, biFor
Penalty factor,Represent the maximum radiated power of radar i, i-th Signal to Interference plus Noise Ratio γ of radariCan be represented by the following formula:
Wherein, ci,jRepresent the cross-correlation coefficient between radar i and radar j, σ2It is system noise power, pjIt is radar j's
Transmission power level,Represent the channel propagation impairments between radar i and radar j, di,jTable
Show the distance between radar i and radar j, biIt is penalty factor, whenWhen, biKeep constant, whenWhen,WhenWhen,
(3) by utility function ui(pi,p-i) to radiant power piSeek first-order partial derivative:
Wherein:ui(pi,p-i) it is the utility function of radar i;
(4) by orderObtain the radiant power iteration expression formula of each radar in Radar Network System
For:
Wherein:It is the radar i transmission power levels that nth iteration is calculated,It is (n+1)th thunder of iterative calculation
Up to i transmission power levels,For the radar i Signal to Interference plus Noise Ratio values that nth iteration is calculated.
Beneficial effects of the present invention are as follows:
The present invention had both reduced the interference between different radars in Radar Network System, while meeting certain target acquisition
The radio frequency Stealth Fighter of system is improve in the case of performance.
Brief description of the drawings
Fig. 1 is flow chart of the invention.
Specific embodiment
The invention is described in further details below in conjunction with the accompanying drawings.
1st, channel propagation impairments and target RCS (Radar Cross Section, RCS) are determined:
The present invention proposes a kind of radar network composite Poewr control method based on non-cooperative game.It make use of each radar and mesh
The prioris such as the RCS of propagation loss and target relative to each radar between mark, therefore, should first determine each radar and target
Between propagation loss and target relative to each radar RCS.It is assumed that working in the Radar Network System model of same frequency range
As shown in Figure 1.
2nd, the radiation parameter and target acquisition SINR (Signal-to-Interference- of Radar Network System are determined
Plus-Noise Ratio, Signal to Interference plus Noise Ratio) parameter such as scope:
According to the demand of radio frequency Stealth Fighter, it is assumed that i-th transmitter antenna gain (dBi) of radar and connect in Radar Network System
Antenna gain is received to be respectivelyIts maximum radiated power isAdditive white Gaussian noise work(at radar receiver
Rate is σ2, according to the target acquisition SINR scopes that specified SINR is calculatedWherein:It is Signal to Interference plus Noise Ratio
SINR value lower limit,It is the Signal to Interference plus Noise Ratio SINR value upper limit.
3rd, the radar network composite Power control model of non-cooperative game is built, and determination meets target acquisition SINR scopesMinimum total emission powerExpression formula:
Requirement according to Radar Network System to target acquisition performance, sets up the radar network composite power based on non-cooperative game
The Mathematical Modeling of control, it is as follows:
In formula, s.t. represents optimization object function " being limited to " following restrictive condition, ui(pi,p-i) it is radar i's
Utility function, piIt is the transmission power level of radar i, p-iThe radiant power of every other radar in the external system except radar i is represented,The maximum radiated power of radar i is represented,For radar i with
Channel propagation impairments between target, wherein,It is i-th transmitter antenna gain (dBi) of radar,It is i-th reception of radar
Antenna gain,It is the RCS of relative i-th radar of target, λ is radar emission signal wavelength, RiFor i-th radar and target it
Between distance;NtIt is the number of radar in system;
Wherein, ci,jRepresent the cross-correlation coefficient between radar i and radar j, σ2It is system noise power, pjIt is the transmission power of radar j
Value,Represent the channel propagation impairments between radar i and radar j, di,jRepresent radar i with
The distance between radar j, biIt is penalty factor, whenWhen, biKeep constant, whenWhen,WhenWhen,
4th, by utility function ui(pi,p-i) to radiant power piFirst-order partial derivative is sought, and makes it be equal to zero:
To determine the transmission power of each radarBy the utility function u in (1) formulai(pi,p-i) to radiation work(
Rate piSeek first-order partial derivative, and make it be equal to zero, it is as follows:
5th, design can solve nonlinear equationNewton iterative:
By solving formula (2), the radiant power of each radar can be obtainedIteration expression formula is:
Wherein:It is the radar i transmission power levels that nth iteration is calculated,It is (n+1)th thunder of iterative calculation
Up to i transmission power levels,For the radar i Signal to Interference plus Noise Ratio values that nth iteration is calculated;Through iterative calculation, try to achieve and meet target acquisition
SINR scopesAnd make one group of minimum radiant power allocation result of Radar Network System total radiant powerMake
It is optimal solution, and finally determines the total radiant power of system, each radar emission performance number of gained is with radio frequency Stealth Fighter
Radar network composite power distribution result.
Claims (1)
1. a kind of radar network composite Poewr control method based on non-cooperative game, it is characterised in that comprise the steps of:
(1) channel propagation impairments between each radar and target in Radar Network System are obtained, its mathematical description is:
Wherein,It is i-th transmitter antenna gain (dBi) of radar,It is i-th receiving antenna gain of radar,It is target
With respect to i-th RCS of radar, λ is radar emission signal wavelength, RiFor between i-th radar and target away from
From NtIt is radar number in system;
(2) according to the investigative range for specifying SINRWherein:It is Signal to Interference plus Noise Ratio SINR value lower limit,It is letter
It is dry to make an uproar than the SINR value upper limit, set up the radar network composite Power control model based on non-cooperative game:
Wherein, s.t. represents optimization object function " being limited to " following restrictive condition, ui(pi,p-i) it is the utility function of radar i,
piIt is the transmission power level of radar i, p-iRepresent the radiant power of every other radar in the external system except radar i, biIt is punishment
The factor,Represent the maximum radiated power of radar i, i-th Signal to Interference plus Noise Ratio γ of radariCan be represented by the following formula:
Wherein, ci,jRepresent the cross-correlation coefficient between radar i and radar j, σ2It is system noise power, pjIt is the transmitting of radar j
Performance number,Represent the channel propagation impairments between radar i and radar j, di,jRepresent thunder
Up to the distance between i and radar j, biIt is penalty factor, whenWhen, biKeep constant, when
When,WhenWhen,
(3) by utility function ui(pi,p-i) to radiant power piSeek first-order partial derivative:
Wherein:ui(pi,p-i) it is the utility function of radar i;
(4) by orderThe radiant power iteration expression formula of each radar is in acquisition Radar Network System:
Wherein:It is the radar i transmission power levels that nth iteration is calculated,It is the radar i hairs of (n+1)th iterative calculation
Penetrate performance number,For the radar i Signal to Interference plus Noise Ratio values that nth iteration is calculated.
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CN107976655A (en) * | 2017-12-08 | 2018-05-01 | 西安电子科技大学 | Radar cross-section redaction Waveform generation method based on Stackelberg game |
CN108717180A (en) * | 2018-07-05 | 2018-10-30 | 南京航空航天大学 | A kind of radar network power distribution method based on Stackelberg game |
CN109324507A (en) * | 2018-08-30 | 2019-02-12 | 西北工业大学 | For the radar transmission power self-adaptation control method of Stealthy Target Dynamic RCS |
CN110007278A (en) * | 2019-03-15 | 2019-07-12 | 南京航空航天大学 | A kind of more stealthy optimization methods of base radar radio frequency based on this tower Frederick Colberg game |
CN111679249A (en) * | 2020-06-05 | 2020-09-18 | 南京航空航天大学 | Frequency control array radar radiation power control method based on radio frequency stealth |
CN111812599A (en) * | 2020-06-23 | 2020-10-23 | 南京航空航天大学 | Networking radar optimal waveform design method based on low interception performance under game condition |
CN113406619A (en) * | 2021-05-25 | 2021-09-17 | 中国航空无线电电子研究所 | Secondary radar responder power control method based on smoothing function |
CN115616488A (en) * | 2022-09-30 | 2023-01-17 | 南京航空航天大学 | Low-interception distributed multi-carrier radar network non-cooperative game power distribution method |
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CN107976655B (en) * | 2017-12-08 | 2019-10-11 | 西安电子科技大学 | Radar cross-section redaction Waveform generation method based on Stackelberg game |
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CN108717180B (en) * | 2018-07-05 | 2021-09-17 | 南京航空航天大学 | Networking radar power distribution method based on Stark-Berger game |
CN108717180A (en) * | 2018-07-05 | 2018-10-30 | 南京航空航天大学 | A kind of radar network power distribution method based on Stackelberg game |
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CN109324507B (en) * | 2018-08-30 | 2020-09-04 | 西北工业大学 | Radar transmission power self-adaptive control method for stealth target dynamic RCS |
CN110007278A (en) * | 2019-03-15 | 2019-07-12 | 南京航空航天大学 | A kind of more stealthy optimization methods of base radar radio frequency based on this tower Frederick Colberg game |
CN110007278B (en) * | 2019-03-15 | 2023-06-20 | 南京航空航天大学 | Multi-base radar radio frequency stealth optimization method based on Starkoberg game |
CN111679249A (en) * | 2020-06-05 | 2020-09-18 | 南京航空航天大学 | Frequency control array radar radiation power control method based on radio frequency stealth |
CN111679249B (en) * | 2020-06-05 | 2023-07-21 | 南京航空航天大学 | Radio frequency stealth-based frequency control array radar radiation power control method |
CN111812599A (en) * | 2020-06-23 | 2020-10-23 | 南京航空航天大学 | Networking radar optimal waveform design method based on low interception performance under game condition |
CN111812599B (en) * | 2020-06-23 | 2023-11-07 | 南京航空航天大学 | Networking radar optimal waveform design method based on low interception performance under game condition |
CN113406619A (en) * | 2021-05-25 | 2021-09-17 | 中国航空无线电电子研究所 | Secondary radar responder power control method based on smoothing function |
CN115616488A (en) * | 2022-09-30 | 2023-01-17 | 南京航空航天大学 | Low-interception distributed multi-carrier radar network non-cooperative game power distribution method |
CN115616488B (en) * | 2022-09-30 | 2023-12-15 | 南京航空航天大学 | Low-interception-oriented distributed multi-carrier radar network non-cooperative game power distribution method |
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